The Labour party is to target this vote as part of its election strategy. The Department of the Environment is also to examine ways to encourage non-nationals to participate in the election.
The latest census figures, published earlier this year, have shown dramatic rises in the number of foreign-born people from most regions in the world.
Under current electoral regulations, the vast majority of those of adult age will be entitled to register to vote in June's local elections.
EU citizens, including those from the accession states, will also be entitled to vote in the European elections, which take place on the same day.
More than half of those born outside the State are from Britain and Northern Ireland, while a further 50,000 are from other European countries.
Nearly 30,000 people born in the Americas live in the Republic. Upwards of 90,000 people from other regions, including Africa and Asia, now live in the State, more than three times the number in 1996.
According to the census, 320,000 people stated their nationality as either dual or non-Irish.
According to the Labour Party, the non-national vote could be a significant factor in some local and European seats.
"It is something we identified in the census report," said Labour's environment spokesman, Mr Eamon Gilmore.
He said the Labour Party believed it had an added advantage of being identified as part of a wider European left-wing movement.
"From a Labour point of view, it's good news," he said. "We've always been reasonably conscious of this factor, but it is now a significant proportion of the potential voting population."
A Labour spokesman also said the party would be urging the Government to set up an awareness campaign to highlight electoral rights and encourage non-nationals to register to vote.
A spokesman for the Department of the Environment said it was aware of the rising numbers of non-nationals and would be considering measures to promote their participation in next June's local elections.
One former asylum seeker, Dr Taiwo Matthew, a Nigerian-born medical doctor, is to stand in the local elections in Ennis, Co Clare, as an Independent.